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### Lie quasi-states Abstract:

**Geometry/Topology**

Speaker: | Leonid Polterovich, Tel Aviv University, U Chicago and MSRI |

Location: | 2112 MSB |

Start time: | Tue, Feb 2 2010, 4:10PM |

A real-valued function on a Lie algebra is called a quasi-state if it is linear on all abelian subalgebras. We address the question of uniqueness of quasi-states on the symplectic Lie algebra. We discuss links to foundations of quantum mechanics (the Gleason theorem) as well as to the group-theoretic notion of a quasi-morphism. Joint work with Michael Entov.